More quizzes In a survey, 80% of respondents prefer Brand A over Brand B. If a respondent is selected at random, what is the probability that they prefer Brand B? In a quality control test,… Quizzes: Complementary rules of probability
If you flip a fair coin, what is the probability that it will land on heads? In a class of 30 students, 18 are girls and 12 are boys. What is the probability that a… Quizzes: Classical definition of probability
This song helps us better remember the properties of the exponential distribution. The exponential distribution models time between events in a Poisson process, where occurrences are independent at a constant rate. Key features include its probability density and cumulative distribution functions, mean, variance, and memoryless property. It has applications in queueing theory, reliability engineering, and survival analysis.
I advised a master’s student to use the binomial probability formula to determine the likelihood of attracting the affection of 15 girls, with Cupid’s success rate at 0.7. The analysis shows that the highest probability of success occurs when 10 girls reciprocate love, with a probability of 0.33.
Supplementary materials for section Grazing the maze of probability & A random variable mood in the KSML app: Basic rules of probability: Mutually exclusive events Conditional probability for medical testing in a forestThe conditional probability… Grazing the maze of probability
My all time favourite catch is “JERRY catching TOM!” ? Little Jerry is so smart, and do you know that he knows probability as well? One day, Jerry was thinking, “Hmm, every time Tom chases… The conditional probability of Tom finding Jerry
Here, we denote by the event NOT . Example 1: Magical Investment Returns In the magical forest, gnomes invest in enchanted acorns, which sometimes turn into golden trees. A gnome named Glim invests in an… Bayes theorem in finance of a magical forest
Here, we denote by the event NOT . Example 1: Squirrel Flu Testing In a forest, a group of squirrels is concerned about a new illness called “Squirrel Flu.” It’s more dangerous than the ordinary… Conditional probability for medical testing in a forest
Mutually exclusive events are events that cannot occur at the same time. In other words, the occurrence of one event excludes the occurrence of the other. Here are some examples:
A permutation refers to the arrangement of objects in a specific order. The order of arrangement is important in permutation. A permutation let us know how many different ways a set or number of things… Permutation